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About this product
Product Identifiers
PublisherMIT Press
ISBN-100262542234
ISBN-139780262542234
eBay Product ID (ePID)4050022322
Product Key Features
Number of Pages352 Pages
Publication NameLectures on the Philosophy of Mathematics
LanguageEnglish
SubjectHistory & Philosophy, General, Logic
Publication Year2021
TypeTextbook
Subject AreaMathematics, Philosophy
AuthorJoel David Hamkins
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight23.6 Oz
Item Length9 in
Item Width7 in
Additional Product Features
Intended AudienceTrade
LCCN2020-009876
Reviews"[E]ven readers who are already familiar with the mathematical topics will find Hamkins's philosophical discussions stimulating and thought-provoking....written in an engaging, conversational style, with numerous well-drawn figures....The book can serve as an interesting and enjoyable introduction...for a wide range of readers." --Notices of the American Mathematical Society
Dewey Edition23
IllustratedYes
Dewey Decimal510.1
Table Of ContentPreface xvii About the Author xix 1 Numbers 1 2 Rigor 53 3 Infinity 87 4 Geometry 119 5 Proof 157 6 Computability 193 7 Incompleteness 225 8 Set Theory 225 Bibliography 303 Notation Index 315 Subject Index 319
SynopsisAn introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.